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Finding the Third Proportional to 57,712.50 and 136,991.25

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Solution

The third proportional to 57,712.50 and 136,991.25 is: 325,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712.50 : 136,991.25 = 136,991.25 : x
  2. Step 2: Convert to fraction form
    57,712.50/136,991.25 = 136,991.25/x
  3. Step 3: Cross multiply
    57,712.50x = 136,991.25 × 136,991.25
  4. Step 4: Simplify right side
    57,712.50x = 18,766,602,576.56
  5. Step 5: Solve for x
    x = 18,766,602,576.56/57,712.50
  6. Step 6: Final answer
    x = 325,173.97

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.